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  Visualization Riddle/Experiment  (Read 1027 times)
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Offline namrog84

JGO Ninja


Medals: 46
Projects: 4


Keep programming!


« Posted 2011-08-05 16:56:12 »

Not really a riddle but for those who know or find out, do not post the solution!

Here we go

Imagine you have 3 points that form an equilateral triangle.

Point A, B and C.

1. Start anywhere X,Y, leave a dot
2. Randomly select one of the three points. (A, B or C)
3. Move halfway between wherever you are and that point and leave a dot.
4. Then randomly select one of the three points again.
5. Move halfway between your current position and that point and leave another dot.
6. Repeat steps 4 and 5 at least 10,000 times


What is the shape that you get?
Try to visualize it internally

If you already know what this is, don't say anything please:)

example code snippet solution
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Random r = new Random();
Point[] xy = new Point[10000];
Point[] triP = { new Point(50, 450), new Point(300, 10), new Point(550, 450) };

public void init() {
   xy[0] = new Point(r.nextInt(800), r.nextInt(800));
   for (int i = 1; i < xy.length; i++) {
      int pickPoint = r.nextInt(3);
      xy[i] = new Point(Math.abs((xy[i - 1].x + triP[pickPoint].x) / 2), Math.abs((xy[i - 1].y + triP[pickPoint].y) / 2));
   }
}
public void render(Graphics g) {
   for (int i = 0; i < xy.length; i++) {
      g.drawLine(xy[i].x, xy[i].y, xy[i].x, xy[i].y);
   }
}


Edit: If you run the code, mangle it around to utilize different shapes(square, octagon, etc..) and try to create new things and see their results. Some are expected, some are not.

"Experience is what you get when you did not get what you wanted"
Offline gouessej
« Reply #1 - Posted 2011-08-11 17:12:28 »

Hi

If you like maths, maybe you should have a look at my source code, I need someone to check if I have not forgotten something...

Offline Eli Delventhal

JGO Kernel


Medals: 42
Projects: 11


Game Engineer


« Reply #2 - Posted 2011-08-11 17:34:14 »

I think I can guess what it would look like.

See my work:
OTC Software
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